Question

Write the equation of the line in standard form that passes through (-1, 3) and (2, 9). }​

Answer 1

Answer:

y = 2x + 5

Step-by-step explanation:

(-1 , 3) & (2 , 9)

x₁ = -1  ; y₁ = 3    & x₂ = 2 ; y₂ = 9

$slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{9-3}{2-[-1]}\\\\=\dfrac{6}{2+1}\\\\=\dfrac{6}{3}\\\\= 2$

m = 2 & (-1 , 3)

Equation of line:

y - y₁ = m(x - x₁)

y - 3 = 2(x - [-1])

y -3 = 2(x + 1)

y - 3 =2x +2

y = 2x + 2 + 3

y = 2x + 5